6533b826fe1ef96bd128473c

RESEARCH PRODUCT

Duality and spatial inhomogeneity

A. R. PlastinoR. Piasecki

subject

Statistics and ProbabilityPhysicsStatistical Mechanics (cond-mat.stat-mech)Value (computer science)Binary numberDuality (optimization)FOS: Physical sciencesFunction (mathematics)Interval (mathematics)Condensed Matter PhysicsMeasure (mathematics)Focus (optics)Condensed Matter - Statistical MechanicsMathematical physicsFree parameter

description

Within the framework on non-extensive thermostatistics we revisit the recently advanced q-duality concept. We focus our attention here on a modified q-entropic measure of the spatial inhomogeneity for binary patterns. At a fixed length-scale this measure exhibits a generalised duality that links appropriate pairs of q and q' values. The simplest q q' invariant function, without any free parameters, is deduced here. Within an adequate interval q < qo < q', in which the function reaches its maximum value at qo, this invariant function accurately approximates the investigated q-measure, nitidly evidencing the duality phenomenon. In the close vicinity of qo, the approximate meaningful relation q + q' = 2qo holds.

yearjournalcountryeditionlanguage
2001-07-30
https://dx.doi.org/10.48550/arxiv.cond-mat/0107604